4(x+3)+5(x-2)+13+27=102

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Solution for 4(x+3)+5(x-2)+13+27=102 equation: 


Simplifying
4(x + 3) + 5(x + -2) + 13 + 27 = 102

Reorder the terms:
4(3 + x) + 5(x + -2) + 13 + 27 = 102
(3 * 4 + x * 4) + 5(x + -2) + 13 + 27 = 102
(12 + 4x) + 5(x + -2) + 13 + 27 = 102

Reorder the terms:
12 + 4x + 5(-2 + x) + 13 + 27 = 102
12 + 4x + (-2 * 5 + x * 5) + 13 + 27 = 102
12 + 4x + (-10 + 5x) + 13 + 27 = 102

Reorder the terms:
12 + -10 + 13 + 27 + 4x + 5x = 102

Combine like terms: 12 + -10 = 2
2 + 13 + 27 + 4x + 5x = 102

Combine like terms: 2 + 13 = 15
15 + 27 + 4x + 5x = 102

Combine like terms: 15 + 27 = 42
42 + 4x + 5x = 102

Combine like terms: 4x + 5x = 9x
42 + 9x = 102

Solving
42 + 9x = 102

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-42' to each side of the equation.
42 + -42 + 9x = 102 + -42

Combine like terms: 42 + -42 = 0
0 + 9x = 102 + -42
9x = 102 + -42

Combine like terms: 102 + -42 = 60
9x = 60

Divide each side by '9'.
x = 6.666666667

Simplifying
x = 6.666666667

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